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If \(a \neq 0\) and \(b \neq 0\), what is the simplified form of \(\left(\dfrac{a^{-2}b}{ab^{-3}}\right)^{-1}\)?यदि \(a \neq 0\) और \(b \neq 0\), तो \(\left(\dfrac{a^{-2}b}{ab^{-3}}\right)^{-1}\) का सरल रूप क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(,\dfrac{a^3}{b^4},\)\(,\dfrac{a^3}{b^4},\)
The expression inside is \(a^{-3}b^4\), and the power (-1) gives its reciprocal \(\dfrac{a^3}{b^4}\). In exams, apply the outer negative power at the end.अंदर का भाग \(a^{-3}b^4\) है, और (-1) घात से उसका व्युत्क्रम \(\dfrac{a^3}{b^4}\) हो जाता है। परीक्षा में outer negative power अंत में लगाएं।
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